Our results indicate that the presence of the intrinsic charm implies
enhancement of the prompt \(\nu _{\mu }\)  flux, while the saturation
effects suppress it for high energies. Another important aspect is that
the impact of the \(cg \rightarrow cg\)  mechanism depends on the magnitude
of \(P_{ic}\) . One important question is whether the current or future
experimental IceCube data can be used to probe the presence of these
effects and constrain the probability to find an IC on the proton
structure, i.e. whether those data could help to improve our understanding
of the strong interactions theory.
In recent years the IceCube Collaboration measured the energy
spectrum of atmospheric neutrino flux with larger precision in an
extended energy range [1]}, [2]} and more data are
expected in the forthcoming years
[3]}, [4]}.
Such measurements are a challenge due to steeper falling behaviour
expected for the atmospheric flux in comparison to that associated with
astrophysical neutrinos.
Different methods have been proposed to disentangle these
two contributions with promising results (see
e.g. Ref. [3]}).
Therefore, the posed question is valid, relevant and timely.
